Question 103173
The denominator of a fraction is one more than the numerator. When 4 is added to the numerator and 6 is added to the denominator the result equals 3/4. Find the fraction.
this is what I have: {{{x/(x+1)}}}, this is right
: 
Right here you should have:
{{{((x+4))/((x+1+6))}}} = {{{3/4}}}
:
{{{((x+4))/((x+7))}}} = {{{3/4}}}
:
Cross multiply and you have:
4(x+4) = 3(x+7)
:
4x + 16 = 3x + 21

4x - 3x = 21 - 16
:
x = 5
:
:
Checking our solution using the original statement:
{{{((5+4))/((6+6))}}} = {{{3/4}}}
{{{9/12}}} = {{{3/4}}}